Covering and independence in triangle structures

Paul Erdös, Tibor Gallai, Zsolt Tuza

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

Let G be a graph in which each edge is contained in at least one triangle (complete subgraph on three vertices). We investigate relationships between the smallest cardinality of an edge set containing at least i edges of each triangle and the largest cardinality of an edge set containing at most j edges of each triangle (i, j ∈ {1, 2}), and also compare those invariants with the numbers of vertices and edges in G. Several open problems are raised in the concluding section.

Original languageEnglish
Pages (from-to)89-101
Number of pages13
JournalDiscrete Mathematics
Volume150
Issue number1-3
DOIs
Publication statusPublished - Apr 6 1996

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ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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